Finding the Third Proportional to 1,490.91 and 3,180.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,490.91 : 3,180.09 = 3,180.09 : x
2. Step 2: Convert to fraction form
   1,490.91/3,180.09 = 3,180.09/x
3. Step 3: Cross multiply
   1,490.91x = 3,180.09 × 3,180.09
4. Step 4: Simplify right side
   1,490.91x = 10,112,996.26
5. Step 5: Solve for x
   x = 10,112,996.26/1,490.91
6. Step 6: Final answer
   x = 6,783.12